Question

solve the system by elimination. -4x - 4y = 0 4x + 4y = 0 infinite number of solutions (-6, 10) (-6, -4) (6, 4)

Explanation:

Step1: Add the two equations

To eliminate variables, we add the equations \(-4x - 4y = 0\) and \(4x + 4y = 0\).
\[

$$\begin{align*} (-4x - 4y)+(4x + 4y)&=0 + 0\\ -4x - 4y+4x + 4y&=0\\ 0&=0 \end{align*}$$

\]

Step2: Analyze the result

When we add the two equations, we get \(0 = 0\), which is a true statement. This means the two equations are dependent (they represent the same line), so there are an infinite number of solutions.

Answer:

Infinite number of solutions